Let X1, X2,,X be a random sample from a Bernoulli distribution with parameter p. a) Find a moment estimator of p. b) Show that the maximum likelihood estimator of p is X = X. c) Show that the maximum likelihood estimator is an unbiased estimator and determine its mean square error. d) Show that the maximum likelihood estimator is a sufficient statistic. e) Find a Minimum Variance Unbiased estimator based on the sample statistic Y = (X+ X2)/2,